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2804868000 = 25345311787
BaseRepresentation
bin1010011100101110…
…1110001110100000
321020110212001120000
42213023232032200
521221021234000
61142154020000
7126335661504
oct24713561640
97213761500
102804868000
11120a302930
12663417600
13359142c0c
141c8730304
1511639c000
hexa72ee3a0

2804868000 has 480 divisors, whose sum is σ = 11244961728. Its totient is φ = 679104000.

The previous prime is 2804867987. The next prime is 2804868007. The reversal of 2804868000 is 8684082.

2804868000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2804868007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3563607 + ... + 3564393.

Almost surely, 22804868000 is an apocalyptic number.

2804868000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2804868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5622480864).

2804868000 is an abundant number, since it is smaller than the sum of its proper divisors (8440093728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2804868000 is a wasteful number, since it uses less digits than its factorization.

2804868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2804868000 is about 52961.0045221954. The cubic root of 2804868000 is about 1410.2760889873.

The spelling of 2804868000 in words is "two billion, eight hundred four million, eight hundred sixty-eight thousand".